Chinese Culture Index

more Abacus information







Contents

Multiplication







(3) Multiplication

(A)

 24 x 6 = 144

Procedures:



(1)

 6 x 4 = 24

C2:

2 === 2 beads Pt LP

C1:

4 === 4 beads Pt LP



(2)

 6 x 2 = 12

C3:

1 === 1 beads Pt LP

C2:

2 === 2 beads Pt LP



Result = 144



Home PageTop








(B)

 62 x 8 = 496

Procedures:




(1)

 8 x 2 = 16

C2:

1 === 1 bead Pt LP

C1:

6 === 1 bead Pt UP, 1 bead Pt LP



(2)

 8 x 6 = 48

C3:

4 === 4 beads Pt LP

C2:

8 === 3 beads Pt LP, 1 bead Pt UP



Result = 496



Home PageTop








(C)

 86 x 7 = 602

Procedures:




(1)

 7 x 6 = 42

C2:

4 === 4 beads Pt LP

C1:

2 === 2 beads Pt LP



(2)

 7 x 8 = 56

C3:

5 === 1 bead Pt UP

C2:

6 === 1 bead Pt LP, 1 bead Pt UP



(3)

 Final action

C2:

1 bead Af UP, 5 beads Af LP 

(10 units = 1 LP bead in next column C3)

C3:

1 bead Pt LP



Result = 602



Home PageTop








(D)

 23 x 13 = 299

Procedures:




(1)

 3 x 3 = 9

C1:

9 === 4 beads Pt LP, 1 bead Pt UP



(2)

 3 x 2 = 6

C2:

6 === 1 bead Pt LP, 1 bead Pt UP



(3)

 1 x 3 = 3

C2:

3 === 3 beads Pt LP



(4)

 1 x 2 = 2

C3:

2 === 2 beads Pt LP



Result = 299



All procedures together



Home PageTop







(E)

 46 x 75 = 3,450

Procedures:




(1)

 5x6 = 30

C2:

3 === 3 beads Pt LP

C1:

0 === no action



(2)

 5x4  = 20

C3:

2 === 2 beads Pt LP

C2:

0 === no action, remember that is the last digit



(3)

 7 x 6 = 42

C3:

4 === 1 bead Pt UP, 1 bead Af LP

C2:

2 === 2 beads Pt LP, 1 bead Pt UP



=== C2: 5 beads Af LP, 1 bead Pt UP



(4)

 7 x 4 = 28

C4:

2 === 2 beads Pt LP

C3:

8 === 3 beads Pt LP, 1 bead Pt UP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4



Result = 3,450



All procedures together



Home PageTop








(F)

 123 x 246 = 30,258

Procedures:




(1)

  6 X 3 = 18

C2:

1 === 1 bead Pt LP

C1:

8 === 1 bead Pt UP, 3 beads Pt LP



(2)

 6 x 2 = 12

C3:

1 === 1 bead Pt LP

C2:

2 === 2 beads Pt LP



(3)

 6 x 1 = 6

C3:

6 === 1 bead Pt LP, 1 bead Pt UP



(4)

 4 x 3 = 12

C3:

C2:


1 === 1 bead Pt LP

2 === 2 beads Pt LP




=== C2: 5 beads Af LP, 1 bead Pt UP



(5)

 4 x 2 = 8

C3:

8 === 1 bead Pt LP in C4, 2 beads Af LP in C3



(6)

 4 x 1 = 4

C4:

4 === 4 beads Pt LP



=== 5 beads Af LP, 1 bead Pt UP



Home PageTop

(7)

 2 x 3 = 6

C3:

6 === 1 bead Pt LP, 1 bead Pt UP



=== 2 beads Af UP, 1 bead Pt LP in C4



(8)

 2 x 2 = 4

C4:

4 === 4 beads Pt LP



=== 1 bead Af UP, 5 beads Af LP, 1 bead Pt LP in C5



(9)

 2 x 1 = 2

C5:

2 === 2 beads Pt LP



Result = 30,258



All procedures together



Home PageTop







(G)

  769 x 298 = 229,162

Procedures:




(1)

 8 x 9 = 72

C2:

7 === 1 bead Pt UP, 2 beads Pt LP

C1:

2 === 2 beads Pt LP



(2)

 8 x 6 = 48

C3:

4 === 4 beads Pt LP

C2:

8 === 3 beads Pt LP, 1 bead Pt UP



=== C2: 5 beads Af LP, 1 bead Pt UP, 1 bead Pt LP in C3



=== C3: 5 beads Af LP,

 1 bead Pt UP



Home PageTop


(3)

 8 x 7 = 56

C4:

5 === 1 bead Pt UP

C3:

6 === 1 bead Pt LP, 1 bead Pt UP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4



(4)

 9 x 9 = 81

C3:

8 === 1 bead Pt UP, 3 beads Pt LP

C2:

1 === 1 bead Pt LP



(5)

 9 x 6 = 54

C4:

5 === 1 bead Pt UP

C3:

4 === 1 bead Pt UP, 1 bead Af LP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4



=== C4: 2 beads Af UP, 1 bead Pt LP in C5



Home PageTop

(6)

 9 x 7 = 63

C5:

6 === 1 bead Pt LP, 1 bead Pt UP

C4:

3 === 3 beads Pt LP 



=== C4: 5 beads Af LP, 1 bead Pt UP



(7)

 2 x 9 = 18

C4:

1 === 1 bead Pt LP

C3:

8 === 2 beads Pt UP, 2 beads Af LP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4



(8)

 2 x 6 = 12

C5:

1 === 1 bead Pt LP

C4:

2 === 2 beads Pt LP



(9)

 2 x 7 = 14

C6:

1 === 1 bead Pt LP

C5:

4 === 1 bead Pt UP, 1 bead Af LP



=== C5: 2 beads Af UP, 1 bead Pt LP in C6



Result = 229,162



All procedures together



Have Fun!

Home pageTop